Finding the Third Proportional to 101,401 and 146,046

Step by Step Solution

1. Step 1: Write the proportion equation
   101,401 : 146,046 = 146,046 : x
2. Step 2: Convert to fraction form
   101,401/146,046 = 146,046/x
3. Step 3: Cross multiply
   101,401x = 146,046 × 146,046
4. Step 4: Simplify right side
   101,401x = 21,329,434,116
5. Step 5: Solve for x
   x = 21,329,434,116/101,401
6. Step 6: Final answer
   x = 210,347.37